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Finding the Third Proportional to 230,102 and 504,484

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Solution

The third proportional to 230,102 and 504,484 is: 1,106,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,102 : 504,484 = 504,484 : x
  2. Step 2: Convert to fraction form
    230,102/504,484 = 504,484/x
  3. Step 3: Cross multiply
    230,102x = 504,484 × 504,484
  4. Step 4: Simplify right side
    230,102x = 254,504,106,256
  5. Step 5: Solve for x
    x = 254,504,106,256/230,102
  6. Step 6: Final answer
    x = 1,106,049.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.